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pshichka [43]
3 years ago
7

Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. What is her monthly principal and interest payment?

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0
I think the answer b
Delvig [45]3 years ago
6 0

Answer:

B . $ 884.56

Step-by-step explanation:

Since, monthly payment formula of a loan,

P=\frac{PV(\frac{r}{12})}{1-(1+\frac{r}{12})^{-12t}}

Where,

PV = principal value,

r = annual rate of interest,

t = number of years,

Here,

PV = $ 162,000,

r = 5.15% = 0.0515,

t = 30,

Hence, the monthly payment would be,

P=\frac{162000(\frac{0.0515}{12})}{1-(1+\frac{0.0515}{12})^{-360}}

=\$ 884.562485827

\approx \$ 884.56

OPTION B is correct.

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infinitely many solutions

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3 years ago
What is the surface area of the three-dimensional figure formed by the net shown?
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Answer:

336 cm²

Step-by-step explanation:

1 rectangle 24 cm by 12 cm

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SA = 24 cm * 12 cm + 12 cm * 8 cm / 2

SA = 288 cm² + 48 cm²

SA = 336 cm²

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The coordinates of the vertices of AABC are A(2,5), B(6, -1), and C(-4,-2). Find the perimeter of AABC, to the nearest tenth.​
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5 0
3 years ago
Find the unit rate, please.<br> 7 errors in 60 minutes.
EleoNora [17]

Answer:

1 error / about 8 minutes and 30 seconds

Step-by-step explanation:

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By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.

Exact answer: 1/8.571428 repeated

Rounded answer: 1/8.56

8 0
3 years ago
In each diagram below, determine whether the triangles are congruent, similar, but not congruent, or not similar. If you claim t
Nadya [2.5K]

Part a

Angle ABC = angle CDA (given by the angle markers)

Angle BAC = angle DCA (alternate interior angles)

Segment AC = segment AC (reflexive property)

Through AAS (angle angle side) we can prove the two triangles are congruent. We have a pair of congruent angles, and we have a pair of congruent sides that are not between the previously mentioned angles.

If two triangles are congruent, they are always similar as well (scale factor = 1).

The same cannot be said the other way around. Not all similar triangles are congruent.

<h3>Answer: Congruent</h3>

======================================================

Part b

Angle FGH = angle JIH (both shown to be 50 degrees)

Angle FHG = angle JHI (vertical angles)

We have enough information to prove the triangles to be similar triangles. This is through the AA (angle angle) similarity rule. Since FG and JI are different lengths, this means the triangles are not congruent.

<h3>Answer: Similar but not congruent</h3>

======================================================

Part c

For each right triangle shown, divide the longer leg over the shorter leg

larger triangle: (long leg)/(short leg) = 6/3 = 2

smaller triangle: (long leg)/(short leg) = 3/2 = 1.5

The two results are different, so the sides are not in proportion to one another, therefore the triangles are not similar.

Any triangles that are not similar will also never be congruent.

<h3>Answer: Not similar</h3>

======================================================

Part d

Use the pythagorean theorem to find that PQ = 5 and KL = 12

We have two triangles with corresponding sides that are the same length

So we use the SSS (side side side) triangle congruence theorem to prove the triangles congruent. The triangles are also similar triangles (scale factor = 1)

<h3>Answer: Congruent</h3>

======================================================

<h3>Summary of the answers:</h3><h3>a. Congruent</h3><h3>b. Similar but not congruent</h3><h3>c. Not similar</h3><h3>d. Congruent </h3>
4 0
3 years ago
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